%0 Journal Article
%T Category and subcategories of (L,M)-fuzzy convex spaces
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Wu, X.-Y.
%A Li, Erqiang
%D 2019
%\ 02/01/2019
%V 16
%N 1
%P 173-190
%! Category and subcategories of (L,M)-fuzzy convex spaces
%K Domain finiteness
%K M)-fuzzy (resp. stratified
%K weakly induced
%K induced) convex space
%K (L
%K M)-fuzzy restricted hull space
%K Galois correspondence
%K Coreflective
%R 10.22111/ijfs.2019.4492
%X Inthispaper, (L,M)-fuzzy domain finiteness and (L,M)-fuzzy restricted hull spaces are introduced, and several characterizations of the category (L,M)-CS of (L,M)-fuzzy convex spaces are obtained. Then, (L,M)-fuzzy stratified (resp. weakly induced, induced) convex spaces are introduced. It is proved that both categories, the category (L,M)-SCS of (L,M)-fuzzy stratified convex spaces and the category (L,M)-WICS of (L,M)-fuzzy weakly induced convex spaces, are coreflective subcategories of (L,M)-CS. It is also proved that three isomorphic categories, namely, the category MCS of M-fuzzifying convex spaces, the category (L,M)-CGCS of (L,M)-fuzzy convex spaces induced by M-fuzzifying convex spaces and the category (L,M)-ICS of (L,M)-fuzzy induced convex spaces, are coreflective subcategories of both (L,M)-SCS and (L,M)-WICS.
%U https://ijfs.usb.ac.ir/article_4492_50382b9f50369b2f0bf4fc3d6073ebeb.pdf